Question

1. given the △vwu≅△ghi, color the corresponding sides the same color.
2. given the △zxy≅△zxc, color the corresponding angles the same color.
3. determine which postulate/theorem proves the triangles are congruent. if the triangles are not congruent, write “not congruent”. if the triangles are congruent, write the congruence statement. (sss, sas, asa, aas, hl).
4. postulate/theorem: △abc≅△____

Explanation:

Step1: Analyze congruent - side markings for 22

In $\triangle VWU\cong\triangle GHI$, we match the corresponding sides by the congruence symbol and side - markings.

Step2: Analyze congruent - angle markings for 23

In $\triangle ZXY\cong\triangle ZXC$, we match the corresponding angles by the congruence symbol and angle - markings.

Step3: Recall congruence postulates for 24

For $\triangle ABC$ and the other triangle, if two angles and the included side are equal, it's ASA (Angle - Side - Angle) postulate.

Step4: Recall congruence postulates for 25

For $\triangle ABC$ and $\triangle DEF$, if two sides and the included angle are equal, it's SAS (Side - Angle - Side) postulate.

Answer:

1. Mark the corresponding sides of $\triangle VWU$ and $\triangle GHI$ with the same color based on the side - markings in the congruent triangles.
2. Mark the corresponding angles of $\triangle ZXY$ and $\triangle ZXC$ with the same color based on the angle - markings in the congruent triangles.
3. ASA (Angle - Side - Angle)
4. SAS (Side - Angle - Side)